Force exerted by the vehicle on the convex bridge:
i. Let,
m = mass of vehicle
R = radius of convex bridge
g = acceleration due to gravity
ii. In the figure, centripetal force acting on the vehicle is given by,
where, N = normal reaction
iii. Normal reaction is balanced by the net force exerted on the vehicle.
It is given by, N = F
\(\therefore\) F = N = mg - \(\cfrac{m\text v^2}R\)
This is the required force on the vehicle.
Note: If bridge is concave then,
F = mg + \(\cfrac{m\text v^2}R\)
